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Finding the Fourth Proportional to 5,413.14, 7,473.81 and 3,397.40

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Solution

The fourth proportional to 5,413.14, 7,473.81 and 3,397.40 is: 4,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.14 : 7,473.81 = 3,397.40 : x
  2. Step 2: Convert to fraction form
    5,413.14/7,473.81 = 3,397.40/x
  3. Step 3: Cross multiply
    5,413.14x = 7,473.81 × 3,397.40
  4. Step 4: Simplify right side
    5,413.14x = 25,391,484.72
  5. Step 5: Solve for x
    x = 25,391,484.72/5,413.14
  6. Step 6: Final answer
    x = 4,690.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.